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Performance Assessment of a Multi-state Standby Series System using Copula Distribution and Catastrophic Failure

by Praveen Kumar Poonia
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International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 184 - Number 39
Year of Publication: 2022
Authors: Praveen Kumar Poonia
10.5120/ijca2022922478

Praveen Kumar Poonia . Performance Assessment of a Multi-state Standby Series System using Copula Distribution and Catastrophic Failure. International Journal of Computer Applications. 184, 39 ( Dec 2022), 1-7. DOI=10.5120/ijca2022922478

@article{ 10.5120/ijca2022922478,
author = { Praveen Kumar Poonia },
title = { Performance Assessment of a Multi-state Standby Series System using Copula Distribution and Catastrophic Failure },
journal = { International Journal of Computer Applications },
issue_date = { Dec 2022 },
volume = { 184 },
number = { 39 },
month = { Dec },
year = { 2022 },
issn = { 0975-8887 },
pages = { 1-7 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume184/number39/32568-2022922478/ },
doi = { 10.5120/ijca2022922478 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:23:32.048219+05:30
%A Praveen Kumar Poonia
%T Performance Assessment of a Multi-state Standby Series System using Copula Distribution and Catastrophic Failure
%J International Journal of Computer Applications
%@ 0975-8887
%V 184
%N 39
%P 1-7
%D 2022
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the authors study the reliability measures of a complex engineering system consisting of three subsystems namely 1, 2 and 3 in series configuration. The subsystem-1 has three units working under 1-out-of-3: G; policy, the subsystem-2 has two units working under 1-ot-of-2: G policy and the subsystem-3 has one unit working under 1-out-of-1: G; policy. Moreover, the system may face catastrophic failure at any time t. The failure rates of units of all the subsystems are constant and assumed to follow exponential distribution, but their repair supports two types of distribution namely general distribution and Gumbel-Hougaard family copula distribution. The system is analyzed by using the supplementary variable technique, Laplace transformation and Gumbel-Hougaard family of copula to derive differential equations and obtain important reliability characteristics such as availability of the system, reliability of the system and profit analysis. It gives a new aspect to scientific community to adopt multi-dimension repair in form of copula. Furthermore, the results of the model are beneficial for system engineers and designers, reliability and maintenance managers.

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Index Terms

Computer Science
Information Sciences

Keywords

Availability Reliability k-out-of-n Goumbel-Hougard copula distribution catastrophic failure

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